Given the following vertex set and edge set (assume bidirectional edges):V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}E={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10}Is this graph complete? Explain your answer.

Step 1: Given the vertex set V={1,2,3,4,5,6,7,8,9,10} , and the edge set…

Answered: Given the following vertex set and edge…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Given the following vertex set and edge set (assume bidirectional edges): V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E ={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} Draw the graph with all the above vertices and edges.
Given the following vertex set and edge set (assume bidirectional edges): V = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E ={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} What is the linked-list based representation of this graph? Assume all edge weights are 1.
Draw a graph G containing the following vertices and edges. V(G) = {0, 1, 2, 3, 4, 5, 6} E(G) = { (0, 1), (0, 2), (0, 3), (2, 1), (2, 4), (5, 1), (5, 3)}
4. Let G=(V, E) be the following undirected graph: V = {1, 2, 3, 4, 5, 6, 7, 8} E = {(1, 7) (1, 4), (1, 6), (6, 4), (7, 5), (2, 5), (2, 4), (4, 3), (4, 8), (8, 3), (3, 5)}. a. Draw G. b. Is G connected? c. Give the adjacency matrix for the graph G given above. d. Determine whether the graph has a Hamiltonian cycle. If the graph does have a Hamiltonian cycle, specify the nodes of one. If it does not, prove that it does not have one. e. Determine whether the graph has a Euler cycle. If the graph does have a Euler cycle, specify the nodes of one. If it does not, prove that it does not have one.
Given the following set of vertices (V) and a set of edge (E). Draw the directed graph. • V= {a, b, c} and E = {(a, c), (b, a), (b, b), (b, c), (c, a), (c, c)} V= {a, b, c, d} and E = {{a, a), (a, d), (b, a), (b, d), (c, a), (c, c), (c, d), (d, b), (d, c)}
Create a graph containing the following edges and display the nodes of a graph in depth first traversal and breadth first traversal. V(G) = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E(G) = {(0, 1), (0, 5), (1, 2), (1, 3), (1, 5), (2, 4), (4, 3), (5, 6), (6, 8), (7, 3), (7, 8), (8, 10), (9, 4), (9, 7), (9, 10)} The input file should consist of the number of vertices in the graph in the first line and the vertices that are adjacent to the vertex in the following lines. Header File #ifndef H_graph #define H_graph #include <iostream> #include <fstream> #include <iomanip> #include "linkedList.h" #include "unorderedLinkedList.h" #include "linkedQueue.h" using namespace std; class graphType { public: bool isEmpty() const; void createGraph(); void clearGraph(); void printGraph() const; void depthFirstTraversal(); void dftAtVertex(int vertex); void breadthFirstTraversal(); graphType(int size = 0); ~graphType(); protected: int maxSize; //maximum number of…
Given the following vertex set and edge set (assume bidirectional edges): V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} What is the adjacency matrix representation of this graph?
this is one question
Draw the graph G = (V, E) with a vertex-set V = {1,2,3,4}and edge-set E = {(1,2),(3,2),(4,3),(1,4),(2,4)}. Find the maximal and minimal degrees and the minimal number of colors needed to color the graph.
2. Let G = (V, E) be a directed weighted graph with the vertices V = {A, B, C, D, E, F) and the edges E= {(A, B, 12), (A, D, 17), (B, C, 8), (B, D, 13), (B, E, 15), (B, F, 13), (C, E, 12), (C, F, 25)}, where the third components is the cost. (a) Write down the adjacency list representation the graph G = (V, E).
2. Use the following description of an undirected graph and draw the graph: v(Graph1) = { A, B, C, D} E(Graph1) = { (A,B), (A,D), (B,C), (B,D) }
Suppose you have the following graph, what is the correct representation of its edges? O F E= {(A,B), (B,D), (C,B), (E,D), (C,E), (F,E)} E= {{A,B}, {B,D}, {C,B}, {E,D}, {C,E}, {F,E}} E= {(A,B), (B,C), (B,D), (C,E), (D,E), (E,F)} E= {(A,B), (B,A), (B,C), (C,B), (B,D), O (D,B), (C,E), (E,C), (D,E), (E,D), (E,F), (F,E)} None of them

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Given the following vertex set and edge set (assume bidirectional edges): V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} Is this graph complete? Explain your answer.